The universal property of commutative algebras' internal crossed modules

Elis Soylu Yılmaz

doi:10.54187/jnrs.1281267

EN

The universal property of commutative algebras' internal crossed modules

Abstract

In this work, we identify subobjects and ideals in the category of internal crossed modules, which provide a deeper understanding of the structure of these objects. Moreover, we provide several propositions through examples, which illustrate the properties and relationships between ideals and subobjects in the category of internal crossed modules. The examples and propositions provided in this work can serve as a foundation for further research in this area and may lead to new insights and discoveries in the study of these complex algebraic structures. Overall, in conclusion, we give a brief overview of the contributions and future research directions of the work presented, highlighting the significance of internal crossed modules in algebraic topology and category theory as well as making suggestions for possible areas of additional research and application.

Keywords

Universal property, Internal crossed module, Ideal, Category

References

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Details

Primary Language

English

Subjects

Mathematical Sciences

Journal Section

Research Article

Authors

Elis Soylu Yılmaz ^*
0000-0002-0869-310X
Türkiye

Publication Date

August 31, 2023

Submission Date

April 11, 2023

Acceptance Date

August 25, 2023

Published in Issue

Year 2023 Volume: 12 Number: 2

DOI

https://doi.org/10.54187/jnrs.1281267

IZ

https://izlik.org/JA55TD73HE

APA

Soylu Yılmaz, E. (2023). The universal property of commutative algebras’ internal crossed modules. Journal of New Results in Science, 12(2), 77-85. https://doi.org/10.54187/jnrs.1281267

AMA

1.Soylu Yılmaz E. The universal property of commutative algebras’ internal crossed modules. JNRS. 2023;12(2):77-85. doi:10.54187/jnrs.1281267

Chicago

Soylu Yılmaz, Elis. 2023. “The Universal Property of Commutative Algebras’ Internal Crossed Modules”. Journal of New Results in Science 12 (2): 77-85. https://doi.org/10.54187/jnrs.1281267.

EndNote

Soylu Yılmaz E (August 1, 2023) The universal property of commutative algebras’ internal crossed modules. Journal of New Results in Science 12 2 77–85.

IEEE

[1]E. Soylu Yılmaz, “The universal property of commutative algebras’ internal crossed modules”, JNRS, vol. 12, no. 2, pp. 77–85, Aug. 2023, doi: 10.54187/jnrs.1281267.

ISNAD

Soylu Yılmaz, Elis. “The Universal Property of Commutative Algebras’ Internal Crossed Modules”. Journal of New Results in Science 12/2 (August 1, 2023): 77-85. https://doi.org/10.54187/jnrs.1281267.

JAMA

1.Soylu Yılmaz E. The universal property of commutative algebras’ internal crossed modules. JNRS. 2023;12:77–85.

MLA

Soylu Yılmaz, Elis. “The Universal Property of Commutative Algebras’ Internal Crossed Modules”. Journal of New Results in Science, vol. 12, no. 2, Aug. 2023, pp. 77-85, doi:10.54187/jnrs.1281267.

Vancouver

1.Elis Soylu Yılmaz. The universal property of commutative algebras’ internal crossed modules. JNRS. 2023 Aug. 1;12(2):77-85. doi:10.54187/jnrs.1281267